most citedSelf-contact Sets for 50 Tightly Knotted and Linked Tubes

6 citations · 6 across the 2 of their papers we have counts for

collaborators

2 papers

math.GT2005

Polygonal knot space near ropelength-minimized knots

Kenneth C. Millett, Michael Piatek, Eric J. Rawdon

For a polygonal knot K, it is shown that a tube of radius R(K), the polygonal thickness radius, is an embedded torus. Given a thick configuration K, perturbations of size r<R(K) de…

math.DG2005★ 6 cited

Self-contact Sets for 50 Tightly Knotted and Linked Tubes

Ted Ashton, Jason Cantarella, Michael Piatek +1

We report on new numerical computations of the set of self-contacts in tightly knotted tubes of uniform circular cross-section. Such contact sets have been obtained before for the…